Least Common Multiple of 9544 and 9552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9544 and 9552 the smallest integer that is 11395536 that is divisible by both numbers.

Least Common Multiple (LCM) of 9544 and 9552 is 11395536.

LCM(9544,9552) = 11395536

LCM of 9544 and 9552

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9544 and 9552

LCM of 9544 and 9552 is 11395536

Least common multiple can be found by multiplying the highest exponent prime factors of 9544 and 9552. First we will calculate the prime factors of 9544 and 9552.

Prime Factorization of 9544


2 9544
2 4772
2 2386
1193 1193
1

Prime factors of 9544 are 2,1193. Prime factorization of 9544 in exponential form is:

9544 = 23×11931

Prime Factorization of 9552


2 9552
2 4776
2 2388
2 1194
3 597
199 199
1

Prime factors of 9552 are 2, 3,199. Prime factorization of 9552 in exponential form is:

9552 = 24×31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9544 and 9552.

LCM(9544,9552) = 24×31×1991×11931
LCM(9544,9552) = 11395536

Factors of 9544

List of positive integer factors of 9544 that divides 9544 without a remainder.

1, 2, 4, 8, 1193, 2386, 4772, 9544

Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552

Least Common Multiple of 9544 and 9552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9544 and 9552, than apply into the LCM equation.

GCF(9544,9552) = 8
LCM(9544,9552) = ( 9544 × 9552) / 8
LCM(9544,9552) = 91164288 / 8
LCM(9544,9552) = 11395536

Properties of LCM 9544 and 9552

(i) The LCM of 9552 and 9544 is associative

LCM of 9544 and 9552 = LCM of 9552 and 9544

Related Least Common Multiples of 9544

Related Least Common Multiples of 9552

Frequently Asked Questions on LCM of 9544 and 9552

1. What is the LCM of 9544 and 9552?

Answer: LCM of 9544 and 9552 is 11395536.

2. What are the Factors of 9544?

Answer: Factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544. There are 8 integers that are factors of 9544. The greatest factor of 9544 is 9544.

3. What are the Factors of 9552?

Answer: Factors of 9552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 9552. There are 20 integers that are factors of 9552. The greatest factor of 9552 is 9552.

4. How to Find the LCM of 9544 and 9552?

Answer:

Least Common Multiple of 9544 and 9552 = 11395536

Step 1: Find the prime factorization of 9544

9544 = 2 x 2 x 2 x 1193

Step 2: Find the prime factorization of 9552

9552 = 2 x 2 x 2 x 2 x 3 x 199

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11395536 = 2 x 2 x 2 x 2 x 3 x 199 x 1193

Step 4: Therefore, the least common multiple of 9544 and 9552 is 11395536.